简算：1＋12/6＋36/12＋80/20＋150/30＋252/42＋392/56＋576/72
简算：1＋12/6＋36/12＋80/20＋150/30＋252/42＋392/56＋576/72
=1+2+3+4+5+6+7+8=36
简算题。14/12-18/20+22/30-26/42+30/56-34/72
14/12-18/20+22/30-26/42+30/56-34/72=72
3+13/6+37/12+81/20+151/30+253/42+393/56+577/72+811/90怎样简算?
3+13/6+37/12+81/20+151/30+253/42+393/56+577/72+811/90
=3+2+1/6+3+1/12+4+1/20+5+1/30+6+1/42+7+1/56+8+1/72+9+1/90
=3+2+3+4+5+6+7+8+9+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
=3+(2+9)*8/2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10
=3+44+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10
=47+1/2-1/10
=47+5/10-1/10
=47+2/5
=47又2/5
1+19/6+61/12+141/20+271/30+463/42+729/56+1081/72+1531/90=
1+19/6+61/12+141/20+271/30+463/42+729/56+1081/72+1531/90
=1+(3+1/6)+(5+1/12)+(7+1/20)+(9+1/30)+(11+1/42)+(13+1/56)+(15+1/72)+(17+1/90)
=(1+3+5+7+9+11+13+15+17) +1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)+1/(8*9)+1/(9*10)
=(1+17)*9/2 +(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)+(1/7-1/8)+(1/8-1/9)+(1/9-1/10)
=81+1/2-1/10
=81又2/5
6/11-12/19+20/29-30/41(简算)
6/11-12/19+20/29-30/41
=6/5+1-12/7-1+20/9+1-30/11-1
=6/5-12/7+20/9-30/11
=2/1+3/1-3/1-4/1+4/1+5/1-5/1-6/1
=2/1-6/1
=3/1
简算 110/30+110/42+110/56+110/72+110/90+110/110
您好：
110/30+110/42+110/56+110/72+110/90+110/110
=110x（1/30+1/42+1/56+1/72+1/90+1/110）
=110x(1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10+1/10-1/11)
=110x(1/5-1/11)
=110x6/55
=12
如果本题有什么不明白可以追问，如果满意记得采纳
如果有其他问题请另发或点击向我求助，答题不易，请谅解，谢谢。
祝学习进步！
简便运算：10-59/6+103/12-149/20+191/30-223/42+239/56-243/72+199/90-131/110+23/132
原式=(20/1-20/2)-(59/2-59/3)+(103/3-103/4)-(149/4-149/5)+(191/5-191/6)-(223/6-223/7)+(239/7-239/8)-(243/8-243/9)+(199/9-199/10)-(131/10-131/11)+(23/11-23/12)
=20/1-79/2+162/3-252/4+340/5-414/6+462/7-482/8+442/9-330/10+154/11-23/12
=20-39-1/2+54-63+68-69+66-60-1/8+49+1/9-33+14-1-11/12
=6-1/2-1/8+1/9-11/12
=5-31/72
=4+41/72
1+19/6+61/12+141/20+271/30+463/42 计算
很简单
原式=1+3+5+7+9+11+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7
=12+12+12+1/2-1/3+1/3-1/4+1/5-1/6+1/6-1/7
=36+1/2-1/7
=36又5/14
25/6-35/12 45/20-55/30 65/42-75/56用裂项求和算
25/6-35/12+45/20-55/30+65/42-75/56
=25/2-25/3-35/3+35/4+45/4-45/5-55/5+55/6+65/6-65/7-75/7+75/8
=25/2-60/3+80/4-100/5+120/6-140/7+75/8
=25/2-20+20-20+20-20+75/8
=100/8+75/8-20
=175/8-160/8
=15/8
